document.write( "Question 710917: If the length of the hour and the minute hands of a clock are 4 cm and 6 cm,
\n" ); document.write( "respectively, what is the distance in cm between the tips of the hands at two
\n" ); document.write( "o'clock?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #437246 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
If the length of the hour and the minute hands of a clock are 4 cm and 6 cm,
\n" ); document.write( "respectively, what is the distance in cm between the tips of the hands at two
\n" ); document.write( "o'clock?
\n" ); document.write( "**
\n" ); document.write( "At 2 o'clock, the included angle between the hour and minute hands=60º
\n" ); document.write( "let x=distance between the tips of the hands at 2 o'clock
\n" ); document.write( "using law of cosines: c^2=a^2+b^2-2*a*b*cosC
\n" ); document.write( "x^2=4^2+6^2-2*4*6*cos60º
\n" ); document.write( "x^2=16+36-48*1/2
\n" ); document.write( "x^2=28
\n" ); document.write( "x≈5.29
\n" ); document.write( "distance between the tips of the hands at 2 o'clock=5.29 cm
\n" ); document.write( "
\n" );